Durrmeyer type operators linked with Boas-Buck type polynomials
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910857459400704 |
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| author | Deo, Naokant Kumar, Sandeep |
| author_facet | Deo, Naokant Kumar, Sandeep |
| contents | The present article intends to introduce the sequence of Baskakov-Durrmeyer type operators linked with the generating functions of Boas-Buck type polynomials. After calculating the moments, including the limiting case of central moments of the constructed sequence of operators, in the subsequent sections, we estimate the convergence rate using the Ditzian-Totik modulus of smoothness and some convergence results in Lipchitz-type space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02243 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Durrmeyer type operators linked with Boas-Buck type polynomials Deo, Naokant Kumar, Sandeep Classical Analysis and ODEs 41A10, 41A25 and 41A30 The present article intends to introduce the sequence of Baskakov-Durrmeyer type operators linked with the generating functions of Boas-Buck type polynomials. After calculating the moments, including the limiting case of central moments of the constructed sequence of operators, in the subsequent sections, we estimate the convergence rate using the Ditzian-Totik modulus of smoothness and some convergence results in Lipchitz-type space. |
| title | Durrmeyer type operators linked with Boas-Buck type polynomials |
| topic | Classical Analysis and ODEs 41A10, 41A25 and 41A30 |
| url | https://arxiv.org/abs/2503.02243 |